localized wave solution
localized wave solution
[‚lōk·ə‚līzd ′wāv sə‚lü·shən] (physics)
A solution to the multidimensional wave equation in which the energy is concentrated in certain regions of space and time.
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For integrable NEEs, there exist several effective methods, such as the inverse scattering transformation and the Hirota method, in deriving certain types of localized wave solutions, e.g., the soliton and breather solutions [9,10].
As a result, various nonlinear governing equations are obtained for all three cases, that possess nonlinear localized wave solutions or solitary wave solutions.
The topics include applications of propagation invariant light fields, linearly traveling and accelerating localized wave solutions to the Schrodinger and Schrodinger-like equations, low-cost two-dimensional collimation of real-time pulsed ultrasonic beams by X-wave-based high-voltage driving of annular arrays, generating localized beams and localized pulses using the angular spectrum, and controlling the longitudinal and transverse shape of optical non-diffracting waves in the experimental generation of frozen waves in optics.
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